scientific article
From MaRDI portal
Publication:3726227
zbMath0595.12017MaRDI QIDQ3726227
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exponential functionnormal formorder typeordinal numberstransfinite sequencesurreal numbersSurreal integerstotally ordered real closed field
Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered rings, algebras, modules (06F25) Ordinal and cardinal numbers (03E10) Ordered fields (12J15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01)
Related Items (36)
2000 Annual Meeting of the Association for Symbolic Logic ⋮ Exponential fields and Conway’s omega-map ⋮ Purposive discovery of operators ⋮ Book review of: E. R. Berlekamp et al., Winning ways for your mathematical plays. ⋮ A Candidate for the Generalised Real Line ⋮ Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers ⋮ ASYMPTOTIC ANALYSIS OF SKOLEM’S EXPONENTIAL FUNCTIONS ⋮ NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II ⋮ On the Pila-Wilkie theorem ⋮ Surreal Birthdays and Their Arithmetic ⋮ Intermediate arithmetic operations on ordinal numbers ⋮ Hardy type derivations on generalised series fields ⋮ A factorisation theory for generalised power series and omnific integers ⋮ Transseries and Todorov-Vernaeve's asymptotic fields ⋮ A robust non-transitive logic ⋮ Cantor on Infinitesimals. Historical and Modern Perspective ⋮ Size change, shape change, and the growth space of a community ⋮ The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small ⋮ Surreal numbers with derivation, Hardy fields and transseries: a survey ⋮ FACTORIZATION IN PRÜFER DOMAINS ⋮ The surreal numbers as a universal \(H\)-field ⋮ Exponentiation in power series fields ⋮ Transfinite function iteration and surreal numbers ⋮ Transseries as germs of surreal functions ⋮ Existence of prime elements in rings of generalized power series ⋮ Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers ⋮ On the asymptotic growth rate of the sum of \(p\)-adic-valued independent identically distributed random variables ⋮ Towards computable analysis on the generalised real line ⋮ The exponential-logarithmic equivalence classes of surreal numbers ⋮ Factorization in generalized power series ⋮ Unique factorization in generalized power series rings ⋮ Generalized Elko theory ⋮ The effective content of surreal algebra ⋮ Analysis of the continuum with surreal numbers ⋮ Unnamed Item ⋮ SURREAL ORDERED EXPONENTIAL FIELDS
This page was built for publication:
